{"id":23,"date":"2010-06-22T10:01:30","date_gmt":"2010-06-22T10:01:30","guid":{"rendered":"http:\/\/quantumcinema-digitalvision.uni-ak.ac.at\/wordpress\/?page_id=23"},"modified":"2010-06-22T10:01:30","modified_gmt":"2010-06-22T10:01:30","slug":"discrete-mathematics","status":"publish","type":"page","link":"https:\/\/quantumcinema.uni-ak.ac.at\/?page_id=23","title":{"rendered":"Discrete Mathematics and Geometry"},"content":{"rendered":"<p><strong>Prof. Hellmuth Stachel<\/strong> (Institute for Mathematics and Discrete Geometry, TU-Vienna) s, due to his work on geometry and computation \u2013 preliminaries for science visualization \u2013 the perfect partner in computational programming. He is mentoring the elaboration of \u00a0the \u201ediscrete dynamic geometry\u201c concept and the development of \u00a0structures of the higher-dimensional space configuration for its application on 3D-animation. With Prof. Stachel Renate Quehenberger may discuss the required theories in his specific fields of geometry and mathematics.<\/p>\n<p>The artwork includes studies in Flexible Polyhedra, Geometry of Mechanisms, Theory of Linear Mappings, Classical Geometry and its applications, Descriptive Geometry, Computer Aided Design, Kinematics,, Elementary Geometry. Surface theory and Symmetry groups, Lie groups, Poincar\u00e9 classes, Abelian and Non- Abelian Rotation, Clifford parallels Calabi-Yau Threefolds and Mirror Symmetry.<\/p>\n<p><strong>Twisted Epita-Dodecahedron<\/strong><\/p>\n<p>Geometrical study: a dodecahedron is filled with 12 epitahedra which perform rotations<\/p>\n<p><object classid=\"clsid:d27cdb6e-ae6d-11cf-96b8-444553540000\" width=\"500\" height=\"281\" codebase=\"http:\/\/download.macromedia.com\/pub\/shockwave\/cabs\/flash\/swflash.cab#version=6,0,40,0\"><param name=\"play\" value=\"false\" \/><param name=\"loop\" value=\"false\" \/><param name=\"src\" value=\"http:\/\/vimeo.com\/moogaloop.swf?clip_id=48165245\" \/><embed type=\"application\/x-shockwave-flash\" width=\"500\" height=\"281\" src=\"http:\/\/vimeo.com\/moogaloop.swf?clip_id=48165245\" loop=\"false\" play=\"false\"><\/embed><\/object><\/p>\n<p><strong>Investigations on the discrete 5D space structure<\/strong><br \/>\nCAD images Christian Magnes<\/p>\n<p><a href=\"https:\/\/testquantumcinema.uni-ak.ac.at\/wp-content\/uploads\/2012\/09\/5dcolor.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"size-full wp-image-919 alignnone\" title=\"5dcolor\" src=\"https:\/\/testquantumcinema.uni-ak.ac.at\/wp-content\/uploads\/2012\/09\/5dcolor.jpg\" alt=\"Investigations on the discrete 5D space structure\" width=\"560\" height=\"316\" srcset=\"https:\/\/quantumcinema.uni-ak.ac.at\/wp-content\/uploads\/2012\/09\/5dcolor.jpg 560w, https:\/\/quantumcinema.uni-ak.ac.at\/wp-content\/uploads\/2012\/09\/5dcolor-300x169.jpg 300w\" sizes=\"auto, (max-width: 560px) 100vw, 560px\" \/><\/a><\/p>\n<p><a href=\"https:\/\/testquantumcinema.uni-ak.ac.at\/wp-content\/uploads\/2012\/09\/5dbw.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-921\" title=\"5dbw\" src=\"https:\/\/testquantumcinema.uni-ak.ac.at\/wp-content\/uploads\/2012\/09\/5dbw.jpg\" alt=\"Investigations on the discrete 5D space structure\" width=\"560\" height=\"420\" srcset=\"https:\/\/quantumcinema.uni-ak.ac.at\/wp-content\/uploads\/2012\/09\/5dbw.jpg 560w, https:\/\/quantumcinema.uni-ak.ac.at\/wp-content\/uploads\/2012\/09\/5dbw-300x225.jpg 300w\" sizes=\"auto, (max-width: 560px) 100vw, 560px\" \/><\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Prof. Hellmuth Stachel (Institute for Mathematics and Discrete Geometry, TU-Vienna) s, due to his work on geometry and computation \u2013&hellip; <a class=\"read-more\" href=\"https:\/\/quantumcinema.uni-ak.ac.at\/?page_id=23\">Weiterlesen<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"parent":16,"menu_order":2,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-23","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/quantumcinema.uni-ak.ac.at\/index.php?rest_route=\/wp\/v2\/pages\/23","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/quantumcinema.uni-ak.ac.at\/index.php?rest_route=\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/quantumcinema.uni-ak.ac.at\/index.php?rest_route=\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/quantumcinema.uni-ak.ac.at\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/quantumcinema.uni-ak.ac.at\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=23"}],"version-history":[{"count":0,"href":"https:\/\/quantumcinema.uni-ak.ac.at\/index.php?rest_route=\/wp\/v2\/pages\/23\/revisions"}],"up":[{"embeddable":true,"href":"https:\/\/quantumcinema.uni-ak.ac.at\/index.php?rest_route=\/wp\/v2\/pages\/16"}],"wp:attachment":[{"href":"https:\/\/quantumcinema.uni-ak.ac.at\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=23"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}